X - required number A, B - natural number X < 50 and X - even number A2 < X < B3 Solve: We can't take number in a square more than 3, because 43=64 (this number is more that 50) Therefore: 33=27 We select numbers in a square: 12=1 – there are a lot of numbers which fit conditions, but it is necessary to us to pick one number. Therefore this particular number doesn't approach very well 22=4 - there are a lot of numbers which fit conditions, but it is necessary to us to pick one number. Therefore this particular number doesn't approach very well 32=9 - there are a lot of numbers which fit conditions, but it is necessary to us to pick one number. Therefore this particular number doesn't approach very well 42=16 - there are a lot of numbers which fit conditions, but it is necessary to us to pick one number. Therefore this particular number doesn't approach very well 52=25 –Only one number suits conditions, it means that is a required number = 26 Test: 26>52 and 26<33 26 is an even number 26<50 No other numbers are more suitable than 26 All conditions are satisfied Answer: 26